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Non-Markovian particle dynamics in continuously controlled quantum gases
1Fachbereich Physik, Universität Rostock, Universitätsplatz 3, D-18051 Rostock, Germany.
Physical Review Letters
|February 9, 2005
Summary
We studied quantum gas dynamics under continuous feedback. Analytic solutions were found by extending the Hilbert space, revealing non-Markovian single-particle trajectories in phase space.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter theory
Background:
- Understanding quantum gas dynamics is crucial for quantum technologies.
- Continuous feedback control introduces complex correlations.
- Analytical solutions for such systems are challenging.
Purpose of the Study:
- To investigate the single-particle dynamics of a quantum gas under continuous feedback.
- To develop an analytical approach for systems with feedback-induced correlations.
- To characterize the resulting particle trajectories.
Main Methods:
- Formal extension of the single-particle Hilbert space with an auxiliary degree of freedom.
- Modeling the particle's motion with colored noise.
- Mapping quantum-statistical correlations onto single-particle behavior.
Main Results:
- Analytic solutions for the single-particle dynamics were obtained.
- Feedback-induced correlations were effectively mapped onto the single particle.
- The single particle exhibits non-Markovian trajectories in phase space.
Conclusions:
- Extending the Hilbert space provides an effective analytical tool for controlled quantum systems.
- Continuous feedback can lead to non-Markovian dynamics in quantum gases.
- This approach offers insights into quantum statistical correlations in driven systems.